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Prove that the velocity distribution for viscous flow between two parallel plates when both plates are fixed across a section is parabolic in nature.
written 5.3 years ago by gravatar for teamques10 teamques10 ★ 65k modified 2.2 years ago by gravatar for RakeshBhuse RakeshBhuse • 3.2k

Also prove that $U_{max}=\frac{3}{2} u_{avg} $
fluid mechanics
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written 2.2 years ago by gravatar for RakeshBhuse RakeshBhuse • 3.2k •   modified 2.2 years ago

Solution :

Considering, Plates are at a distance (B) apart.

Consider a fluid element as shown with sides (dx, dy, dz).

The flow is a steady and uniform. There is no acceleration.

1

Sum of all forces in the direction of motion is zero.

Pressure Force + Shear Forces = 0. …

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